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Finding the Third Proportional to 309.23 and 412.17

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Solution

The third proportional to 309.23 and 412.17 is: 549.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.23 : 412.17 = 412.17 : x
  2. Step 2: Convert to fraction form
    309.23/412.17 = 412.17/x
  3. Step 3: Cross multiply
    309.23x = 412.17 × 412.17
  4. Step 4: Simplify right side
    309.23x = 169,885.65
  5. Step 5: Solve for x
    x = 169,885.65/309.23
  6. Step 6: Final answer
    x = 549.38

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.